The finite sum of the squares of the Mie coefficients is very useful for addressing problems of classical light scattering. An approximate formula available in the literature, and still in use today, has been developed to determine a priori the number of the most significant terms needed to evaluate the scattering cross section. Here we obtain an improved formula, which includes the number of terms needed, for the scattering cross section to be determined with an error smaller than the prescribed accuracy. This approximation can be a promising and valuable approach for modeling light scattering phenomena. © 2012 Optical Society of America
Light scattering today is still an important and active field, whose application largely outgrows the field of atmospheric optics, affecting several issues in optical trapping, spherical cloaking, plasmonics and realistic physical based rendering.[Ref] For instance, recent examples exploiting various light scattering phenomena include optical trapping of free-standing nanostructures, such as polymer nanofibers and other nanoparticles.[Ref1, Ref2] In particular, the phenomenon of scattering of plane waves by a spherical body is described exactly by the Mie theory in terms of an infinite series.[Ref] For the purpose of numerical computation, only a finite number of terms are retained, based on the size of the scatterers in relation to the wavelength. The number of terms conserved is commonly determined by Wiscombe’s criterion.[1] This method has been initially proposed to compute the spherical functions by downward recursion, and to utilize the new vector processing technology of the time, which requires a number of terms established a priori. Nowadays, with the increased computational power and c...
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By Fresnel reflection: at Brewster's angle, no light polarized in plane of incidence is reflected from the surface, thus all reflected light must be s-polarized, with an electric field perpendicular to the plane of incidence.
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Within the various applications of optics investigated, it is clear that while technology has progressed and advanced over time, optical devices such as mirrors, prisms and lenses will still be very much in use in the future. The fundamental properties of these instruments are utilised and manipulated in a range of optical gadgets such as telescopes and projectors. Even in areas outside of visual aid and entertainment, optical apparatuses can be used to trick the eye and even showcase 3D images, as seen in holograms. Although metamaterials used in stealth technology lack obvious uses of mirrors, prisms and lenses, knowledge of principles observed in these tools such as reflection and refraction is used in the developing stages. In can then be said that the technology is based on understanding of the three aforementioned devices.
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